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Simplifying -8(4b + -7) = -24 + 8b Reorder the terms: -8(-7 + 4b) = -24 + 8b (-7 * -8 + 4b * -8) = -24 + 8b (56 + -32b) = -24 + 8b Solving 56 + -32b = -24 + 8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-8b' to each side of the equation. 56 + -32b + -8b = -24 + 8b + -8b Combine like terms: -32b + -8b = -40b 56 + -40b = -24 + 8b + -8b Combine like terms: 8b + -8b = 0 56 + -40b = -24 + 0 56 + -40b = -24 Add '-56' to each side of the equation. 56 + -56 + -40b = -24 + -56 Combine like terms: 56 + -56 = 0 0 + -40b = -24 + -56 -40b = -24 + -56 Combine like terms: -24 + -56 = -80 -40b = -80 Divide each side by '-40'. b = 2 Simplifying b = 2
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